{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# reloads modules automatically\n",
    "%load_ext autoreload \n",
    "\n",
    "# reloads modules automatically\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import io\n",
    "from PIL import Image\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def display_image_from_bytes(image_bytes):\n",
    "    # Create a BytesIO object\n",
    "    image_stream = io.BytesIO(image_bytes)\n",
    "    \n",
    "    # Open the image using PIL\n",
    "    image = Image.open(image_stream)\n",
    "    \n",
    "    # Display the image using matplotlib\n",
    "    plt.figure(figsize=(10, 10))\n",
    "    plt.imshow(image)\n",
    "    plt.axis('off')  # Hide the axes\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import argparse\n",
    "import sys\n",
    "\n",
    "from dotenv import load_dotenv\n",
    "load_dotenv(override=True)\n",
    "\n",
    "sys.path.append(\"..\")\n",
    "import textgrad as tg\n",
    "from load_task import load_multimodal_instance_task\n",
    "\n",
    "def config():\n",
    "    parser = argparse.ArgumentParser(description=\"Optimize the Chameleon system for the ScienceQA task.\")\n",
    "    parser.add_argument(\"--task\", type=str, default=\"scienceqa\", help=\"The task to evaluate the model on.\")   \n",
    "    parser.add_argument(\"--multimodal\", action='store_true', help=\"Determine if we want to load multimodal dataset.\")\n",
    "    parser.add_argument(\"--task_instruction\", type=str, default=None, help=\"The instruction for the task.\")\n",
    "    parser.add_argument(\"--evaluation_instruction\", type=str, default=None, help=\"The instruction for the evaluation.\")\n",
    "    parser.add_argument(\"--instance_role\", type=str, default=None, help=\"The role description of the instance.\")\n",
    "    parser.add_argument(\"--image_role\", type=str, default=None, help=\"The role description of the image.\")\n",
    "    parser.add_argument(\"--question_role\", type=str, default=None, help=\"The role description of the question.\")\n",
    "    parser.add_argument(\"--engine\", type=str, default=\"gpt-4o\", help=\"The API to use for inference.\")\n",
    "    parser.add_argument(\"--eval_engine\", type=str, default=\"gpt-4o\", help=\"The API to use for evaluation.\")\n",
    "    parser.add_argument(\"--test_num\", type=int, default=-1, help=\"The number of test samples to evaluate., -1 means all.\")\n",
    "    \n",
    "    # Parse known args first\n",
    "    args, unknown = parser.parse_known_args()\n",
    "    \n",
    "    # If there are unknown arguments, print a warning\n",
    "    if unknown:\n",
    "        print(f\"Warning: Unknown arguments {unknown}\")\n",
    "    \n",
    "    return args"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Warning: Unknown arguments ['--f=/root/.local/share/jupyter/runtime/kernel-v36ae6be82922f52a7358bde3cb515d17200179916.json']\n"
     ]
    }
   ],
   "source": [
    "args = config()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Loaded ScienceQA dataset from cache.\n"
     ]
    }
   ],
   "source": [
    "llm_engine = tg.get_engine(engine_name=args.engine, check_cache=False)\n",
    "tg.set_backward_engine(llm_engine, override=True)\n",
    "\n",
    "eval_engine = tg.get_engine(engine_name=args.eval_engine, check_cache=False)\n",
    "test_set = load_multimodal_instance_task(args.task,\n",
    "                                        evaluation_api=eval_engine, \n",
    "                                        task_instruction=args.task_instruction, # NOTE: check the instruction\n",
    "                                        evaluation_instruction=args.evaluation_instruction, # NOTE: check the instruction\n",
    "                                        )\n",
    "\n",
    "total = min(args.test_num, len(test_set)) if args.test_num > 0 else len(test_set)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Example Question from ScienceQA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "image_bytes, query, answer, ques_data, *_ = test_set[46]\n",
    "pid = ques_data[\"pid\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'pid': '46', 'question': 'Think about the magnetic force between the magnets in each pair. Which of the following statements is true?', 'answer': 1, 'choices': ['The magnetic force is stronger in Pair 1.', 'The magnetic force is stronger in Pair 2.', 'The strength of the magnetic force is the same in both pairs.'], 'hint': 'The images below show two pairs of magnets. The magnets in different pairs do not affect each other. All the magnets shown are made of the same material.', 'has_image': True, 'task': 'closed choice', 'grade': 'grade3', 'subject': 'natural science', 'topic': 'physics', 'category': 'Magnets', 'skill': 'Compare strengths of magnetic forces'}\n"
     ]
    }
   ],
   "source": [
    "print(ques_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "You will answer a scientific question based on an image. Please ensure you accurately interpret the image and think step by step. The last line of your answer should be formatted as follows: 'Answer: (X) Your Option.'\n",
      "Context: The images below show two pairs of magnets. The magnets in different pairs do not affect each other. All the magnets shown are made of the same material.\n",
      "Question: Think about the magnetic force between the magnets in each pair. Which of the following statements is true?\n",
      "Choices: (A) The magnetic force is stronger in Pair 1. (B) The magnetic force is stronger in Pair 2. (C) The strength of the magnetic force is the same in both pairs.\n"
     ]
    }
   ],
   "source": [
    "print(query)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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rLA42O3zn/3XSFf3T53dmhZs/n+fj9a29n20ZHFnefK4o+e9MzbuCXH8pBgYRq4sdrRv5zf7/MyzG9UxPDrMKlnJp4RJKgp/DxCTuxKg5voFX9j1GxO5Kd4nD1s2Xebntcj8f1yZ4+KXukx772xuDHGi0eHd3nNpmbU1Ih6mjXfzwSxnsb7S576nOkx67bYGf7IDB2h0xth+2PmMOcr5yfUXcMOabjM2Zhd+VgYPN8cgxtrW8w9q6Z4k70ZTXlLag8eWx36Uz0caqvf/EoY4dmIZJecY4/uzi+1h+yXd4/pMfpKu0ESHoM5hUZvLfJrh5d7dWvGT4yMuA62d6WL0tTrhHYTmVll/0VyScBK8d+jf2tm8BoChQwS1j/wd/fsnf8KtP/hGbob2SsXTUX5LtK+a9Y6+ytfk/sZ0EOb5C7pjwv1l+yV/x8v7H6LE6zz4jOSceN4zKM7l+poc3Pk7PFlr5bC4DCkMGN8328NpHce1dSimDOyb8L+q7D/B49bdojTbgdfmZkruAypIvEHRn8cqBx1JeVdqCRlGggt31m2mJHCHhRMGBw527eGb3Q9rvmQIf7EsQ7rG5cbaPqtoE4Z50VySSHE+ti3DbAj+76i12HbFOOTxQBk9hYDRVLe/Q1HOIuN275exY9/7ecR17yIcMgFx/KeFYM0e69hC3ewfO45FjPL37QcAmanWfeQZyXg632KzbGee2BX427onTprf7gtIZcXhuQ5S/XBRgw+4Ex7scrdKliAGUBC9mXf2LdMSPYzlxehJxth9/l4Md27Gd9Iy/aTsZfF94K9MLrqSy5AuMy55NlqcAy4lzPFLP8dixdJU1YjSFbXYesWjrsrn5Ml+6yxFJmj31FtWHE1w5ycuYAl3vIpUOhKsZn3MZl5fczIScueR4i7Aci+ORoxyPDo9xva5zD0WBChaWfZGpef+NPF/ZHw9P6F1GGx22M5i6Ig67jibYU29x6+V+jHQXJCeJW7C7PsG22gRfqvQR8KS7opHDAfa0fcDCsi8yt+gGxmROJujOImp1czxST1u0MS11pW2Pxvr6l5mUW0mWN4/Liq7HNEy64u0c6drDtpZ1RLTreVAlbIf9jRZuFyyb4ePdXXH2N6pBytAXScCbH8e4bYGfSWVujnfq8IpU2dTwKhNy55HjK2Z24VJMw01PooO6zt1UtbwzLMb1qpa1dCXaKQlUMC1vIZcWLCFidVHXuYuPW96mJ9FJb8uXwWA70NLpsLoqxl2LA1xSHFPvuoA4QFcMXt0SZcXSIOt3x9l9dOjvyRwaHN4+8jzT8hdSGryYitBkbMemPdbE4c5d7G77gKiV+nPI0hY0ajt30JPopDTjIgr8o8j2FhB0ZzMptxKvK8j6+hfTVdqI0dbtsPOIxayLbK6d7uWJtRFtHZJhYddRi30NFuNKXDR12FjqcylxuGs33VYnJcGLKPSPJttXSEbfuB5gff1LOEN8i/+x7gP0JDppCn6OokAFub4SMj05TMytxOPys+nYq8PipPcLWTThUFOX4GCTxbIZXn7xjnrXhcRxHLbX2RxstFg0yUNT2NbfJ0UOdGwjYnVRljGWfH8ZIU8eub4Ssr0FBNwh3m94LeU1pSVouAwPAXcmLdEjNEVqAfCYfkqDFzG/+CaWjPoLNtS/POQb0oXOcqAxbPOf22N8c7Gf32/TYSYyPMQtWFsT40vzfUwZ5eJoq61tzIOsd1zPoC3aSEvkCABuw0tRcAyXl9zMklF/wXvHfjukLwHrMtz4XEG6Ex3sbvuA3W0fYGKS7y9nYdktXF3+FT5u+k8FjUHmAN0x+M2HUf7mhiBrd8Rxu9JdlfxXcQt+uyXKt5YGGFuSIMOn/XyDzWV4CLpD1Hfvp757HwBBd4jPhaYzu3ApC0u/yOaG3+Gk+C+RljXLoDuLafmLyPWV4DJ6D+CL2xEaeg5R07qBbG8hLiONt/gYQbpjUH04we56i+VzfZgarGWY2NtgU1NnURgymTfWg9rc4Aq6s5iSdwUFgXLchheAhBOjqecw1S3ryPYVDflxPeAOMT7nMsoyxuIxe89ts7FpiRylquVtQt58XIYXtP120NkOVB+22HkkwQ0zvWQH9Z5faLbXWeyoSzB/rIcxhS40Bg8mgwxPNjMLFpPpycb84+p9d6KTuq5d7A9XkeXNx0zD/oW0BA0DWDb6a1xVfiujMybgN4P4XBkU+scwu3ApBzuqh/RWr6GmJwZP/iHClZM8lGSZmKYGbBke1tbEaOm0mfU5N3kZ2mM32BaX/wVXl3+Fi7Km4ndl4DOD5PnKmFt8PQfD1Wm5hntSOVBZ/AWuGf1VJuVWEnBl4jH9ZHsLmV98E4c7dhCzu9EKVeqsfKeHORe7GZ3nwqcTjy84z22MMDrfZHyxi0yf1i0Gk4HBTRd9i4Vlt5DvL8NrBgi6QozOmMT4nDnUdu7EIvXnLKZl81I43sITNX/DovJb+OrEfyDTk4uDQ0fsOLtaN/Pyvp+mo6wRy3agMezw1LoI9y4N4NL6mAwT4Qhs3JOgKMtk1ueG9tb0C11HvIUnd/0dC0r/jFvGPkC2txCArngbu9o28393/G3aLq+YLJ2JVl7c92PmFC1l2Zivc/v4/4mBSY/Vyc7jm/jFzu/RnQinu8wRpakDnt8Y5c5FfvwercheaFo64bdbYtxa6SMU0N9n8Di0x5r4WdU9LKv4GpdPfwKfK0jCidMSOUrN8Q2sO7oqLZWlrfMe6f6EX+39RwzMvp3MDuBgD/lmdKH7h5e7cZzegHGC7cBLm2P85sMYln3yYyJDQSQON/44fMp9M3Yesdhd34NpQEKnfQ2q+u59vLz/pxh//A+G37jeFKllde0veOvwL4ftMl6oXtoc45UPYqd8j1/dEuP1rTFsByx9x9Omutbijn/rIPGpr8Hamjh/2BHHAWz9fQbV4a5drNz53b4RuHdVzsFx7LRdejuNm/icPw7KGphT7bMGYtsBW38OGcJOd3M+h97PvD7aqeCMiJVtGxscrTGlmu2cfiOYeteFwYFTQgb03oM5oY2XKeJgO4l0F3ESHSQjIiIiIiJJp6AhIiIiIiJJp6AhIiIiIiJJp6AhIiIiIiJJp6AhIiIiIiJJp6AhIiIiIiJJp6AhIiIiIiJJp6AhIiIiIiJJp6AhIiIiIiJJNyh3Bg+6QwTd2Thput15qrk8QQJei6xAuitJnYDXwFBMlRTyeyArcPo7Aw9HHp8LvztAwJWFYaS7mlQw8Jr+tFbgd2eQ4ckZEXc3B7DJJOCzyAqMiA8YAEGvgVu9a8BMA/xeRtR6jtfrJuAKjZgx2MAk6MlK+nwHJWhcWfZluhMdOIyMNQIrnkN3URnRaHqbZCqNL3ET9I6Ab55cEAwDZl/kJsMXwB4h44rpKsWfeTWBzIsZKd80l+HGSOOO9lkF1zA6cyKOMzI2kjmOh86cUUQjI6d3VeS7KMxS0hiooM9g7iUecjJGymgELvfnyMy9BY+3Pd2lpISBQcAdSvp8ByVoXFZ8/WDMVkRGKNMwmDzKzeRRgzJkXaD8QCEwP92FjBiT8yqBynSXkVqj0l2ADAUBr8H0MW6mjxlJY3DZH//J+VCsFxERERGRpFPQEBERERGRpFPQEBERERGRpFPQEBERERGRpFPQEBERERGRpFPQEBERERGRpFPQEBERERGRpFPQEBERERGRpFPQEBERERGRpFPQEBERERGRpFPQEBERERGRpFPQEBERERGRpFPQEBERERGRpFPQEDlPu3bt4uGHH2bBggVMmjSJhQsXsnLlShzHOWXajo4OXnjhBebPn08ikUhDtSIikkqbN2/mvvvu46qrruLXv/71Z04XDod59tlnueKKK9QfZNhQ0JABcRyHhx56iHA4fNoV6ZGmq6uLxx9/nLq6OlasWMG///u/c8cdd/DYY49RXV2NbdsnTe/3+6msrOSRRx7B5XKlqeqhw3Ec2tvbeeihh/R5E5Hz8s///M988sknKR1Lfv3rX/Piiy9SW1uL1+slEol85rSBQICFCxfygx/84ILqD1VVVfzrv/5rusuQIcqd7gJk6Nm7dy+WZaW7jAtCLBbj4osvpqysjKuvvprc3FwKCwv58Y9/zCeffMKUKVNOmj4ej3PgwAF++9vfsmDBAj744AM2bdpEaWkpx44do7W1lVGjRjF//nymT5+epqW6sCQSCfbu3ZvuMkRkiDt48CDd3d0pfc2CggIWLlxIYWEh77///hmnjcfj7N27l9/97ndUVlby4YcfsmnTJsrKyjh69Citra2MGTOGyspKpk6dmqIl6N0TX1tbm7LXk+FFezREzoPX62XZsmUsWrSIoqIiTNPE4/HgOA6hUOiU6U8Ejddeew3Lsti/fz+/+MUvqK+vx+PxEI/H2bhxI6tXr1aYExEZ4qZNm8aiRYuYOHEibveZt+3G43H27dvHG2+8QSKRYP/+/axcuZJjx47h9XqJx+Ns2LCBNWvWqD/IkKE9GnJOmpqaiEajGIaR7lJSyjAMioqK+n7OyMhg8uTJAFiWRVNTE++99x7Z2dlMmzYN0zxzlne5XNTV1TF37lxmz55NS0sLjz76KO+99x7d3d0nhZXGxsYRd/iQ4zi0tbWluwwRGSZaW1tpaGgYlN5lmiaFhYUn/e6/9ouBMAyjrz/MmzePSy+9lKamJn74wx/y/vvv841vfIPMzMy+6QezP7S3tw/KfGVkUNCQAXMch02bNuH3+0dc0PB6vXzhC1845feJRILm5mbeffddnn76ab797W9TUlLSr/entLSUyZMnEwgEKCkpIScnhz179tDe3n5S0NiwYcOIO0HQcRx6enrSXYaIDBPV1dU0NjYOSu/y+XzcdNNNSZ3nif7g9/spLS0lJyeHo0eP0t7eflLQWL9+/aDt5dBhU3I+FDTknJimeUGdrJYqp9tDYds2hw8f5oUXXmD16tWsWLGC5cuX93uemZmZfU3PMAwMw8BxnFNOJHe5XKf8biQ4214hEZH+GszeNRjz/XR/AD6zPwzWHg2NwXI+FDRkwAzD4IYbbiAnJ2fE7dH4NMdx+OSTT/jZz35Ge3s7P/nJT5g5c+agvFayt5QNBY7jcPz4cVavXp3uUkRkGLjiiiuYPn36sOtdp9vTnizr16/n9ddfH7T5y/CmoCFyHiKRCD/60Y/Iy8vjrrvuYtq0aekuSUREROSCoKAhch7ef/99duzYwZ49e3jxxRfxer1A767m2267je9973tnvdKIiIgMP5Zlceedd7Jp0yY6Ozvp6OjgnXfe4ZFHHuGLX/wiDz744Ig8BFlGFsPp50F9W7ZsAeg7aVVGJsdx2LFjB+PHj8ftdg+73c8D1dLSwr59++js7DzpvTAMg7KyMsaOHXvS8a2JRIKmpiYOHjzI3LlzaW5upra2lpkzZ/ZdFvfAgQOEw2EmTpyI3+9Px2JdMBzHIZFIsGfPnlPuSSIjk+M4fPTRRwBMmTLlrN+Rbdu2EY/HqaiooKCgIBUlygVqz549lJaWnnTew2ByHIeqqipaW1v7fj5xHl5paSnjx48/qY5EIkFjYyO1tbVcdtllff3h0ksvxe124zgO+/fvp6uri/Hjx6esP7S1tdHS0sIll1ySkteTC1tPTw87duwAYPbs2WedXkFDRESGDAUNEZH0GWjQ0KUEREREREQk6RQ0REREREQk6RQ0REREREQk6RQ0REREREQk6RQ0REREREQk6RQ0REREREQk6RQ0REREREQk6RQ0REREREQk6fodNE7cvdKyLGzbHrSCRERETufEneKBft/Z+cR0tm1jWdag1SYiMtzZtj3gMbjfQcPtdgPQ1dVFLBZT2BARkZRxHAfLsujo6AB6e1J/Gt2J6SKRCJFIRL1LROQc2LZNLBaju7sb+FMuOJv+TQUEg0Ha29tpbW3t+9nlcp1DqSIiIgNzosk1NzcDvT2oP0EjEAgQjUbp6OjANE0SiQQej2ewyxURGVYsy6K7u5vW1lYMwyAYDPbref0OGkVFRXR1ddHd3U1XV9c5FyoiInI+TNOkoKCgX1vU8vPz6enpoaenh4aGBhoaGlJQoYjI8GQYBi6Xi6Kiov5N7ziO09+Zt7e309TURFdXV98xWiIiIqngcrnw+/2UlJSQnZ3d72OEOzs7aWlpIRwOE4/HGUDbExERegOG2+0mGAxSWFhIdnZ2/543kKAhIiIiIiLSH7q8rYiIiIiIJJ2ChoiIiIiIJJ2ChoiIiIiIJJ2ChoiIiIiIJJ2ChoiIiIiIJJ2ChoiIiIiIJJ2ChoiIiIiIJJ2ChoiIiIiIJJ2ChoiIiIiIJN3/B26GwVTM9ayNAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x1000 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display_image_from_bytes(image_bytes)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Forward Pass to Get the Initial Solution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "from chameleon_modules import ChameleonAgent"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Loading cache from ocr_cache.json\n",
      "\n",
      "==> [Predicted Modules]: ['text_detector', 'knowledge_retrieval', 'solution_generator', 'answer_generator']\n",
      "\n",
      "==> [Module at 0]: text_detector\n",
      "\n",
      "==> [Remaining modules at 0]: ['knowledge_retrieval', 'solution_generator', 'answer_generator']\n",
      "\n",
      "==> [Variable to optimize at 0]: Detected text in the image: [[[[165, 0], [211, 0], [211, 15], [165, 15]], 'Pair 1'], [[[515, 0], [561, 0], [561, 15], [515, 15]], 'Pair 2']]\n",
      "\n",
      "==> [Module at 1]: knowledge_retrieval\n",
      "\n",
      "==> [Remaining modules at 1]: ['solution_generator', 'answer_generator']\n",
      "\n",
      "==> [Variable to optimize at 1]: \n",
      "\n",
      "Knowledge:\n",
      "- Magnets exert forces on each other, which can be either attractive or repulsive, depending on their orientation.\n",
      "- The strength of the magnetic force between two magnets is influenced by several factors, including the distance between the magnets and their alignment.\n",
      "- The closer the magnets are to each other, the stronger the magnetic force between them. Conversely, as the distance increases, the magnetic force decreases.\n",
      "- The material of the magnets can affect their magnetic strength, but in this context, all magnets are made of the same material, so this factor is constant.\n",
      "- The shape and size of the magnets can also influence the distribution of the magnetic field, potentially affecting the force.\n",
      "- When comparing the strength of magnetic forces, it is important to consider both the distance between the magnets and their relative positions or orientations.\n",
      "- In this scenario, since the magnets are made of the same material, the primary factors to consider are the distance between the magnets in each pair and their orientation.\n",
      "\n",
      "==> [Module at 2]: solution_generator\n",
      "\n",
      "==> [Remaining modules at 2]: ['answer_generator']\n",
      "\n",
      "==> [Variable to optimize at 2]: \n",
      "\n",
      "Solution: To determine which statement about the magnetic force between the magnets in each pair is true, we need to consider the factors that influence magnetic force:\n",
      "\n",
      "1. **Distance Between Magnets**: The magnetic force is stronger when magnets are closer together. If one pair of magnets is closer than the other, the force in that pair will be stronger.\n",
      "\n",
      "2. **Orientation of Magnets**: The orientation (whether the poles are aligned to attract or repel) can affect the force, but since the question does not specify different orientations, we assume they are similar.\n",
      "\n",
      "3. **Material of Magnets**: All magnets are made of the same material, so this factor is constant and does not affect the comparison.\n",
      "\n",
      "4. **Size and Shape of Magnets**: These can affect the magnetic field distribution, but again, without specific differences mentioned, we assume they are similar.\n",
      "\n",
      "Given that the primary factor we can assess is the distance between the magnets, we need to compare the distances in Pair 1 and Pair 2. However, the problem does not provide specific measurements or images to directly compare these distances.\n",
      "\n",
      "Since the question does not provide enough information to definitively determine which pair has a stronger magnetic force based on distance or orientation, we must consider the possibility that the magnetic forces are the same in both pairs, assuming all other factors are equal.\n",
      "\n",
      "Therefore, the most reasonable conclusion, given the lack of specific distinguishing information, is that the strength of the magnetic force is the same in both pairs.\n",
      "\n",
      "The answer is C.\n",
      "\n",
      "==> [Module at 3]: answer_generator\n",
      "\n",
      "==> [Remaining modules at 3]: []\n",
      "\n",
      "==> [Variable to optimize at 3]: The strength of the magnetic force is the same in both pairs.\n"
     ]
    }
   ],
   "source": [
    "agent = ChameleonAgent(args)\n",
    "output = agent(pid=pid, example=ques_data, image_bytes=image_bytes) # run the agent"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "# [Initial Solution]: \n",
      "\n",
      "Solution: To determine which statement about the magnetic force between the magnets in each pair is true, we need to consider the factors that influence magnetic force:\n",
      "\n",
      "1. **Distance Between Magnets**: The magnetic force is stronger when magnets are closer together. If one pair of magnets is closer than the other, the force in that pair will be stronger.\n",
      "\n",
      "2. **Orientation of Magnets**: The orientation (whether the poles are aligned to attract or repel) can affect the force, but since the question does not specify different orientations, we assume they are similar.\n",
      "\n",
      "3. **Material of Magnets**: All magnets are made of the same material, so this factor is constant and does not affect the comparison.\n",
      "\n",
      "4. **Size and Shape of Magnets**: These can affect the magnetic field distribution, but again, without specific differences mentioned, we assume they are similar.\n",
      "\n",
      "Given that the primary factor we can assess is the distance between the magnets, we need to compare the distances in Pair 1 and Pair 2. However, the problem does not provide specific measurements or images to directly compare these distances.\n",
      "\n",
      "Since the question does not provide enough information to definitively determine which pair has a stronger magnetic force based on distance or orientation, we must consider the possibility that the magnetic forces are the same in both pairs, assuming all other factors are equal.\n",
      "\n",
      "Therefore, the most reasonable conclusion, given the lack of specific distinguishing information, is that the strength of the magnetic force is the same in both pairs.\n",
      "\n",
      "The answer is C.\n",
      "\n",
      "# [Initial Prediction]: The strength of the magnetic force is the same in both pairs.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "initial_solution = agent.state[\"solution\"].value\n",
    "print(f\"# [Initial Solution]: {initial_solution}\\n\")\n",
    "\n",
    "initial_prediction = output.value\n",
    "print(f\"# [Initial Prediction]: {initial_prediction}\\n\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<text text-anchor=\"start\" x=\"71.5\" y=\"-413.6\" font-family=\"Arial\" font-size=\"8.00\">about the magnetic force between the</text>\n",
       "<text text-anchor=\"start\" x=\"68\" y=\"-405.6\" font-family=\"Arial\" font-size=\"8.00\">magnets in each pair is true, we need to</text>\n",
       "<text text-anchor=\"start\" x=\"79.5\" y=\"-397.6\" font-family=\"Arial\" font-size=\"8.00\">consider the factors that influence</text>\n",
       "<text text-anchor=\"start\" x=\"71\" y=\"-389.6\" font-family=\"Arial\" font-size=\"8.00\">magnetic force: 1. **Distance Between</text>\n",
       "<text text-anchor=\"start\" x=\"80.5\" y=\"-381.6\" font-family=\"Arial\" font-size=\"8.00\">Magnets**: The magnetic force is</text>\n",
       "<text text-anchor=\"start\" x=\"78\" y=\"-373.6\" font-family=\"Arial\" font-size=\"8.00\">stronger when magnets are closer</text>\n",
       "<text text-anchor=\"start\" x=\"79.5\" y=\"-365.6\" font-family=\"Arial\" font-size=\"8.00\">together. If one pair of magnets is</text>\n",
       "<text text-anchor=\"start\" x=\"73\" y=\"-357.6\" font-family=\"Arial\" font-size=\"8.00\">closer than the other, the force in that</text>\n",
       "<text text-anchor=\"start\" x=\"75.5\" y=\"-349.6\" font-family=\"Arial\" font-size=\"8.00\">pair will be stronger. 2. **Orientation</text>\n",
       "<text text-anchor=\"start\" x=\"70\" y=\"-341.6\" font-family=\"Arial\" font-size=\"8.00\">of Magnets**: The orientation (whether</text>\n",
       "<text text-anchor=\"start\" x=\"80.5\" y=\"-333.6\" font-family=\"Arial\" font-size=\"8.00\">the poles are aligned to attract or</text>\n",
       "<text text-anchor=\"start\" x=\"75.5\" y=\"-325.6\" font-family=\"Arial\" font-size=\"8.00\">repel) can affect the force, but since</text>\n",
       "<text text-anchor=\"start\" x=\"72\" y=\"-317.6\" font-family=\"Arial\" font-size=\"8.00\">the question does not specify different</text>\n",
       "<text text-anchor=\"start\" x=\"80.5\" y=\"-309.6\" font-family=\"Arial\" font-size=\"8.00\">orientations, we assume they are</text>\n",
       "<text text-anchor=\"start\" x=\"74.5\" y=\"-301.6\" font-family=\"Arial\" font-size=\"8.00\">similar. 3. **Material of Magnets**: All</text>\n",
       "<text text-anchor=\"start\" x=\"67\" y=\"-293.6\" font-family=\"Arial\" font-size=\"8.00\">magnets are made of the same material,</text>\n",
       "<text text-anchor=\"start\" x=\"72.5\" y=\"-285.6\" font-family=\"Arial\" font-size=\"8.00\">so this factor is constant and does not</text>\n",
       "<text text-anchor=\"start\" x=\"76\" y=\"-277.6\" font-family=\"Arial\" font-size=\"8.00\">affect the comparison. 4. **Size and</text>\n",
       "<text text-anchor=\"start\" x=\"65\" y=\"-269.6\" font-family=\"Arial\" font-size=\"8.00\">Shape of Magnets**: These can affect the</text>\n",
       "<text text-anchor=\"start\" x=\"74.5\" y=\"-261.6\" font-family=\"Arial\" font-size=\"8.00\">magnetic field distribution, but again,</text>\n",
       "<text text-anchor=\"start\" x=\"71\" y=\"-253.6\" font-family=\"Arial\" font-size=\"8.00\">without specific differences mentioned,</text>\n",
       "<text text-anchor=\"start\" x=\"71\" y=\"-245.6\" font-family=\"Arial\" font-size=\"8.00\">we assume they are similar. Given that</text>\n",
       "<text text-anchor=\"start\" x=\"70\" y=\"-237.6\" font-family=\"Arial\" font-size=\"8.00\">the primary factor we can assess is the</text>\n",
       "<text text-anchor=\"start\" x=\"62.5\" y=\"-229.6\" font-family=\"Arial\" font-size=\"8.00\">distance between the magnets, we need to</text>\n",
       "<text text-anchor=\"start\" x=\"67\" y=\"-221.6\" font-family=\"Arial\" font-size=\"8.00\">compare the distances in Pair 1 and Pair</text>\n",
       "<text text-anchor=\"start\" x=\"64.5\" y=\"-213.6\" font-family=\"Arial\" font-size=\"8.00\">2. However, the problem does not provide</text>\n",
       "<text text-anchor=\"start\" x=\"75.5\" y=\"-205.6\" font-family=\"Arial\" font-size=\"8.00\">specific measurements or images to</text>\n",
       "<text text-anchor=\"start\" x=\"69.5\" y=\"-197.6\" font-family=\"Arial\" font-size=\"8.00\">directly compare these distances. Since</text>\n",
       "<text text-anchor=\"start\" x=\"72\" y=\"-189.6\" font-family=\"Arial\" font-size=\"8.00\">the question does not provide enough</text>\n",
       "<text text-anchor=\"start\" x=\"76.5\" y=\"-181.6\" font-family=\"Arial\" font-size=\"8.00\">information to definitively determine</text>\n",
       "<text text-anchor=\"start\" x=\"67\" y=\"-173.6\" font-family=\"Arial\" font-size=\"8.00\">which pair has a stronger magnetic force</text>\n",
       "<text text-anchor=\"start\" x=\"74.5\" y=\"-165.6\" font-family=\"Arial\" font-size=\"8.00\">based on distance or orientation, we</text>\n",
       "<text text-anchor=\"start\" x=\"75.5\" y=\"-157.6\" font-family=\"Arial\" font-size=\"8.00\">must consider the possibility that the</text>\n",
       "<text text-anchor=\"start\" x=\"73\" y=\"-149.6\" font-family=\"Arial\" font-size=\"8.00\">magnetic forces are the same in both</text>\n",
       "<text text-anchor=\"start\" x=\"76\" y=\"-141.6\" font-family=\"Arial\" font-size=\"8.00\">pairs, assuming all other factors are</text>\n",
       "<text text-anchor=\"start\" x=\"70.5\" y=\"-133.6\" font-family=\"Arial\" font-size=\"8.00\">equal. Therefore, the most reasonable</text>\n",
       "<text text-anchor=\"start\" x=\"76\" y=\"-125.6\" font-family=\"Arial\" font-size=\"8.00\">conclusion, given the lack of specific</text>\n",
       "<text text-anchor=\"start\" x=\"75\" y=\"-117.6\" font-family=\"Arial\" font-size=\"8.00\">distinguishing information, is that the</text>\n",
       "<text text-anchor=\"start\" x=\"75.5\" y=\"-109.6\" font-family=\"Arial\" font-size=\"8.00\">strength of the magnetic force is the</text>\n",
       "<text text-anchor=\"start\" x=\"74\" y=\"-101.6\" font-family=\"Arial\" font-size=\"8.00\">same in both pairs. The answer is C.</text>\n",
       "<text text-anchor=\"start\" x=\"119.5\" y=\"-93.6\" font-family=\"Arial\" font-weight=\"bold\" font-size=\"8.00\" fill=\"darkblue\">Grad Fn: </text>\n",
       "<text text-anchor=\"start\" x=\"156.5\" y=\"-93.6\" font-family=\"Arial\" font-size=\"8.00\"> </text>\n",
       "<text text-anchor=\"start\" x=\"7\" y=\"-85.6\" font-family=\"Arial\" font-size=\"8.00\">textgrad.autograd.string_based_ops.StringBasedFunction.backward_static</text>\n",
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       "<text text-anchor=\"start\" x=\"190.5\" y=\"-821.6\" font-family=\"Arial\" font-weight=\"bold\" font-size=\"8.00\" fill=\"darkblue\">Role: </text>\n",
       "<text text-anchor=\"start\" x=\"214.5\" y=\"-821.6\" font-family=\"Arial\" font-size=\"8.00\"> Text detected from the image using a</text>\n",
       "<text text-anchor=\"start\" x=\"261.5\" y=\"-813.6\" font-family=\"Arial\" font-size=\"8.00\">tool.</text>\n",
       "<text text-anchor=\"start\" x=\"187.5\" y=\"-805.6\" font-family=\"Arial\" font-weight=\"bold\" font-size=\"8.00\" fill=\"darkblue\">Value: </text>\n",
       "<text text-anchor=\"start\" x=\"215.5\" y=\"-805.6\" font-family=\"Arial\" font-size=\"8.00\"> Detected text in the image: [[[[165, 0],</text>\n",
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       "<text text-anchor=\"start\" x=\"212\" y=\"-789.6\" font-family=\"Arial\" font-size=\"8.00\">1&#39;], [[[515, 0], [561, 0], [561, 15],</text>\n",
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       "<text text-anchor=\"start\" x=\"249.5\" y=\"-773.6\" font-family=\"Arial\" font-weight=\"bold\" font-size=\"8.00\" fill=\"darkblue\">Grad Fn: </text>\n",
       "<text text-anchor=\"start\" x=\"286.5\" y=\"-773.6\" font-family=\"Arial\" font-size=\"8.00\"> </text>\n",
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       "<text text-anchor=\"start\" x=\"225\" y=\"-729.6\" font-family=\"Arial\" font-weight=\"bold\" font-size=\"8.00\" fill=\"darkblue\">Role: </text>\n",
       "<text text-anchor=\"start\" x=\"249\" y=\"-729.6\" font-family=\"Arial\" font-size=\"8.00\"> Knowledge retrieved by the knowledge</text>\n",
       "<text text-anchor=\"start\" x=\"277.5\" y=\"-721.6\" font-family=\"Arial\" font-size=\"8.00\">retrieval module.</text>\n",
       "<text text-anchor=\"start\" x=\"224\" y=\"-713.6\" font-family=\"Arial\" font-weight=\"bold\" font-size=\"8.00\" fill=\"darkblue\">Value: </text>\n",
       "<text text-anchor=\"start\" x=\"252\" y=\"-713.6\" font-family=\"Arial\" font-size=\"8.00\"> Knowledge: &#45; Magnets exert forces on</text>\n",
       "<text text-anchor=\"start\" x=\"251.5\" y=\"-705.6\" font-family=\"Arial\" font-size=\"8.00\">each other, which can be either</text>\n",
       "<text text-anchor=\"start\" x=\"242.5\" y=\"-697.6\" font-family=\"Arial\" font-size=\"8.00\">attractive or repulsive, depending on</text>\n",
       "<text text-anchor=\"start\" x=\"240.5\" y=\"-689.6\" font-family=\"Arial\" font-size=\"8.00\">their orientation. &#45; The strength of the</text>\n",
       "<text text-anchor=\"start\" x=\"236.5\" y=\"-681.6\" font-family=\"Arial\" font-size=\"8.00\">magnetic force between two magnets is</text>\n",
       "<text text-anchor=\"start\" x=\"239.5\" y=\"-673.6\" font-family=\"Arial\" font-size=\"8.00\">influenced by several factors, including</text>\n",
       "<text text-anchor=\"start\" x=\"238\" y=\"-665.6\" font-family=\"Arial\" font-size=\"8.00\">the distance between the magnets and</text>\n",
       "<text text-anchor=\"start\" x=\"250.5\" y=\"-657.6\" font-family=\"Arial\" font-size=\"8.00\">their alignment. &#45; The closer the</text>\n",
       "<text text-anchor=\"start\" x=\"236.5\" y=\"-649.6\" font-family=\"Arial\" font-size=\"8.00\">magnets are to each other, the stronger</text>\n",
       "<text text-anchor=\"start\" x=\"246.5\" y=\"-641.6\" font-family=\"Arial\" font-size=\"8.00\">the magnetic force between them.</text>\n",
       "<text text-anchor=\"start\" x=\"239.5\" y=\"-633.6\" font-family=\"Arial\" font-size=\"8.00\">Conversely, as the distance increases,</text>\n",
       "<text text-anchor=\"start\" x=\"242.5\" y=\"-625.6\" font-family=\"Arial\" font-size=\"8.00\">the magnetic force decreases. &#45; The</text>\n",
       "<text text-anchor=\"start\" x=\"238\" y=\"-617.6\" font-family=\"Arial\" font-size=\"8.00\">material of the magnets can affect their</text>\n",
       "<text text-anchor=\"start\" x=\"241\" y=\"-609.6\" font-family=\"Arial\" font-size=\"8.00\">magnetic strength, but in this context,</text>\n",
       "<text text-anchor=\"start\" x=\"246.5\" y=\"-601.6\" font-family=\"Arial\" font-size=\"8.00\">all magnets are made of the same</text>\n",
       "<text text-anchor=\"start\" x=\"244.5\" y=\"-593.6\" font-family=\"Arial\" font-size=\"8.00\">material, so this factor is constant. &#45;</text>\n",
       "<text text-anchor=\"start\" x=\"237\" y=\"-585.6\" font-family=\"Arial\" font-size=\"8.00\">The shape and size of the magnets can</text>\n",
       "<text text-anchor=\"start\" x=\"245\" y=\"-577.6\" font-family=\"Arial\" font-size=\"8.00\">also influence the distribution of the</text>\n",
       "<text text-anchor=\"start\" x=\"247\" y=\"-569.6\" font-family=\"Arial\" font-size=\"8.00\">magnetic field, potentially affecting</text>\n",
       "<text text-anchor=\"start\" x=\"233.5\" y=\"-561.6\" font-family=\"Arial\" font-size=\"8.00\">the force. &#45; When comparing the strength</text>\n",
       "<text text-anchor=\"start\" x=\"244\" y=\"-553.6\" font-family=\"Arial\" font-size=\"8.00\">of magnetic forces, it is important to</text>\n",
       "<text text-anchor=\"start\" x=\"237.5\" y=\"-545.6\" font-family=\"Arial\" font-size=\"8.00\">consider both the distance between the</text>\n",
       "<text text-anchor=\"start\" x=\"239.5\" y=\"-537.6\" font-family=\"Arial\" font-size=\"8.00\">magnets and their relative positions or</text>\n",
       "<text text-anchor=\"start\" x=\"244\" y=\"-529.6\" font-family=\"Arial\" font-size=\"8.00\">orientations. &#45; In this scenario, since</text>\n",
       "<text text-anchor=\"start\" x=\"244.5\" y=\"-521.6\" font-family=\"Arial\" font-size=\"8.00\">the magnets are made of the same</text>\n",
       "<text text-anchor=\"start\" x=\"253\" y=\"-513.6\" font-family=\"Arial\" font-size=\"8.00\">material, the primary factors to</text>\n",
       "<text text-anchor=\"start\" x=\"239.5\" y=\"-505.6\" font-family=\"Arial\" font-size=\"8.00\">consider are the distance between the</text>\n",
       "<text text-anchor=\"start\" x=\"253\" y=\"-497.6\" font-family=\"Arial\" font-size=\"8.00\">magnets in each pair and their</text>\n",
       "<text text-anchor=\"start\" x=\"287.5\" y=\"-489.6\" font-family=\"Arial\" font-size=\"8.00\">orientation.</text>\n",
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       "<text text-anchor=\"start\" x=\"102.5\" y=\"-1257.6\" font-family=\"Arial\" font-weight=\"bold\" font-size=\"8.00\" fill=\"darkblue\">Role: </text>\n",
       "<text text-anchor=\"start\" x=\"126.5\" y=\"-1257.6\" font-family=\"Arial\" font-size=\"8.00\"> Modules predicted by the policy module</text>\n",
       "<text text-anchor=\"start\" x=\"167.5\" y=\"-1249.6\" font-family=\"Arial\" font-size=\"8.00\">(planner).</text>\n",
       "<text text-anchor=\"start\" x=\"95\" y=\"-1241.6\" font-family=\"Arial\" font-weight=\"bold\" font-size=\"8.00\" fill=\"darkblue\">Value: </text>\n",
       "<text text-anchor=\"start\" x=\"123\" y=\"-1241.6\" font-family=\"Arial\" font-size=\"8.00\"> To determine the sequence of modules for</text>\n",
       "<text text-anchor=\"start\" x=\"116\" y=\"-1233.6\" font-family=\"Arial\" font-size=\"8.00\">the given question, we need to analyze</text>\n",
       "<text text-anchor=\"start\" x=\"117\" y=\"-1225.6\" font-family=\"Arial\" font-size=\"8.00\">the question, context, and metadata to</text>\n",
       "<text text-anchor=\"start\" x=\"114.5\" y=\"-1217.6\" font-family=\"Arial\" font-size=\"8.00\">understand what information is required</text>\n",
       "<text text-anchor=\"start\" x=\"119\" y=\"-1209.6\" font-family=\"Arial\" font-size=\"8.00\">to generate the answer. **Question:**</text>\n",
       "<text text-anchor=\"start\" x=\"113.5\" y=\"-1201.6\" font-family=\"Arial\" font-size=\"8.00\">Think about the magnetic force between</text>\n",
       "<text text-anchor=\"start\" x=\"117.5\" y=\"-1193.6\" font-family=\"Arial\" font-size=\"8.00\">the magnets in each pair. Which of the</text>\n",
       "<text text-anchor=\"start\" x=\"135\" y=\"-1185.6\" font-family=\"Arial\" font-size=\"8.00\">following statements is true?</text>\n",
       "<text text-anchor=\"start\" x=\"112.5\" y=\"-1177.6\" font-family=\"Arial\" font-size=\"8.00\">**Context:** The images below show two</text>\n",
       "<text text-anchor=\"start\" x=\"125.5\" y=\"-1169.6\" font-family=\"Arial\" font-size=\"8.00\">pairs of magnets. The magnets in</text>\n",
       "<text text-anchor=\"start\" x=\"128\" y=\"-1161.6\" font-family=\"Arial\" font-size=\"8.00\">different pairs do not affect each</text>\n",
       "<text text-anchor=\"start\" x=\"111.5\" y=\"-1153.6\" font-family=\"Arial\" font-size=\"8.00\">other. All the magnets shown are made of</text>\n",
       "<text text-anchor=\"start\" x=\"115.5\" y=\"-1145.6\" font-family=\"Arial\" font-size=\"8.00\">the same material. **Options:** (A) The</text>\n",
       "<text text-anchor=\"start\" x=\"122\" y=\"-1137.6\" font-family=\"Arial\" font-size=\"8.00\">magnetic force is stronger in Pair 1.</text>\n",
       "<text text-anchor=\"start\" x=\"120\" y=\"-1129.6\" font-family=\"Arial\" font-size=\"8.00\">(B) The magnetic force is stronger in</text>\n",
       "<text text-anchor=\"start\" x=\"114\" y=\"-1121.6\" font-family=\"Arial\" font-size=\"8.00\">Pair 2. (C) The strength of the magnetic</text>\n",
       "<text text-anchor=\"start\" x=\"131\" y=\"-1113.6\" font-family=\"Arial\" font-size=\"8.00\">force is the same in both pairs.</text>\n",
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       "<text text-anchor=\"start\" x=\"141.5\" y=\"-1089.6\" font-family=\"Arial\" font-size=\"8.00\">science&#39;, &#39;topic&#39;: &#39;physics&#39;,</text>\n",
       "<text text-anchor=\"start\" x=\"119.5\" y=\"-1081.6\" font-family=\"Arial\" font-size=\"8.00\">&#39;category&#39;: &#39;Magnets&#39;, &#39;skill&#39;: &#39;Compare</text>\n",
       "<text text-anchor=\"start\" x=\"114.5\" y=\"-1073.6\" font-family=\"Arial\" font-size=\"8.00\">strengths of magnetic forces&#39;} Given the</text>\n",
       "<text text-anchor=\"start\" x=\"122.5\" y=\"-1065.6\" font-family=\"Arial\" font-size=\"8.00\">metadata and the question, we can</text>\n",
       "<text text-anchor=\"start\" x=\"138.5\" y=\"-1057.6\" font-family=\"Arial\" font-size=\"8.00\">determine the following: 1.</text>\n",
       "<text text-anchor=\"start\" x=\"119.5\" y=\"-1049.6\" font-family=\"Arial\" font-size=\"8.00\">**Text_Detector:** Since the question</text>\n",
       "<text text-anchor=\"start\" x=\"111.5\" y=\"-1041.6\" font-family=\"Arial\" font-size=\"8.00\">involves analyzing images to compare the</text>\n",
       "<text text-anchor=\"start\" x=\"115.5\" y=\"-1033.6\" font-family=\"Arial\" font-size=\"8.00\">magnetic forces, we need to detect any</text>\n",
       "<text text-anchor=\"start\" x=\"121\" y=\"-1025.6\" font-family=\"Arial\" font-size=\"8.00\">text or labels in the image that might</text>\n",
       "<text text-anchor=\"start\" x=\"115\" y=\"-1017.6\" font-family=\"Arial\" font-size=\"8.00\">provide additional information about the</text>\n",
       "<text text-anchor=\"start\" x=\"118\" y=\"-1009.6\" font-family=\"Arial\" font-size=\"8.00\">magnets. 2. **Knowledge_Retrieval:**</text>\n",
       "<text text-anchor=\"start\" x=\"116.5\" y=\"-1001.6\" font-family=\"Arial\" font-size=\"8.00\">Retrieve background knowledge about</text>\n",
       "<text text-anchor=\"start\" x=\"124.5\" y=\"-993.6\" font-family=\"Arial\" font-size=\"8.00\">magnetic forces, which can help in</text>\n",
       "<text text-anchor=\"start\" x=\"127.5\" y=\"-985.6\" font-family=\"Arial\" font-size=\"8.00\">understanding how the shape or</text>\n",
       "<text text-anchor=\"start\" x=\"119\" y=\"-977.6\" font-family=\"Arial\" font-size=\"8.00\">arrangement of magnets might affect</text>\n",
       "<text text-anchor=\"start\" x=\"144.5\" y=\"-969.6\" font-family=\"Arial\" font-size=\"8.00\">their magnetic force. 3.</text>\n",
       "<text text-anchor=\"start\" x=\"128\" y=\"-961.6\" font-family=\"Arial\" font-size=\"8.00\">**Solution_Generator:** Use the</text>\n",
       "<text text-anchor=\"start\" x=\"116.5\" y=\"-953.6\" font-family=\"Arial\" font-size=\"8.00\">information from the text detection and</text>\n",
       "<text text-anchor=\"start\" x=\"125.5\" y=\"-945.6\" font-family=\"Arial\" font-size=\"8.00\">knowledge retrieval to generate a</text>\n",
       "<text text-anchor=\"start\" x=\"113\" y=\"-937.6\" font-family=\"Arial\" font-size=\"8.00\">detailed solution comparing the magnetic</text>\n",
       "<text text-anchor=\"start\" x=\"113\" y=\"-929.6\" font-family=\"Arial\" font-size=\"8.00\">forces. 4. **Answer_Generator:** Extract</text>\n",
       "<text text-anchor=\"start\" x=\"119\" y=\"-921.6\" font-family=\"Arial\" font-size=\"8.00\">the final answer from the solution in a</text>\n",
       "<text text-anchor=\"start\" x=\"111.5\" y=\"-913.6\" font-family=\"Arial\" font-size=\"8.00\">concise form. Therefore, the sequence of</text>\n",
       "<text text-anchor=\"start\" x=\"136\" y=\"-905.6\" font-family=\"Arial\" font-size=\"8.00\">modules for this question is:</text>\n",
       "<text text-anchor=\"start\" x=\"132\" y=\"-897.6\" font-family=\"Arial\" font-size=\"8.00\">**Modules:** [&quot;Text_Detector&quot;,</text>\n",
       "<text text-anchor=\"start\" x=\"143\" y=\"-889.6\" font-family=\"Arial\" font-size=\"8.00\">&quot;Knowledge_Retrieval&quot;,</text>\n",
       "<text text-anchor=\"start\" x=\"146\" y=\"-881.6\" font-family=\"Arial\" font-size=\"8.00\">&quot;Solution_Generator&quot;,</text>\n",
       "<text text-anchor=\"start\" x=\"147\" y=\"-873.6\" font-family=\"Arial\" font-size=\"8.00\">&quot;Answer_Generator&quot;]</text>\n",
       "<text text-anchor=\"start\" x=\"165.5\" y=\"-865.6\" font-family=\"Arial\" font-weight=\"bold\" font-size=\"8.00\" fill=\"darkblue\">Grad Fn: </text>\n",
       "<text text-anchor=\"start\" x=\"202.5\" y=\"-865.6\" font-family=\"Arial\" font-size=\"8.00\"> </text>\n",
       "<text text-anchor=\"start\" x=\"53\" y=\"-857.6\" font-family=\"Arial\" font-size=\"8.00\">textgrad.autograd.string_based_ops.StringBasedFunction.backward_static</text>\n",
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      "text/plain": [
       "<graphviz.graphs.Digraph at 0x73b4f80e2d10>"
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     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "output.generate_graph()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## TextGrad Optimization for the Example Question"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "\n",
      "####################################################################################################\n",
      "==> [Optimizing module 1]: knowledge_retrieval\n",
      "####################################################################################################\n",
      "\u001b[44m\n",
      "==> [Variable to optimize at 1 (Output before optimization)]:\u001b[0m\n",
      "==================================================\n",
      "\n",
      "\n",
      "Knowledge:\n",
      "- Magnets exert forces on each other, which can be either attractive or repulsive, depending on their orientation.\n",
      "- The strength of the magnetic force between two magnets is influenced by several factors, including the distance between the magnets and their alignment.\n",
      "- The closer the magnets are to each other, the stronger the magnetic force between them. Conversely, as the distance increases, the magnetic force decreases.\n",
      "- The material of the magnets can affect their magnetic strength, but in this context, all magnets are made of the same material, so this factor is constant.\n",
      "- The shape and size of the magnets can also influence the distribution of the magnetic field, potentially affecting the force.\n",
      "- When comparing the strength of magnetic forces, it is important to consider both the distance between the magnets and their relative positions or orientations.\n",
      "- In this scenario, since the magnets are made of the same material, the primary factors to consider are the distance between the magnets in each pair and their orientation.\n",
      "==================================================\n",
      "\u001b[48;5;208m\n",
      "==> [Variable outputs and gradients]:\u001b[0m\n",
      "defaultdict(<class 'list'>, {Variable(value=Knowledge:\n",
      "- Magnets exert forces on each other, which can be explained by the inverse square law: the magnetic force between two magnets is inversely proportional to the square of the distance between them. This means that as the distance between the magnets increases, the force decreases rapidly.\n",
      "- If all magnets are made of the same material, this factor remains constant and does not influence the comparison of magnetic forces.\n",
      "- The orientation of the magnets, whether their poles are aligned to attract or repel, can also affect the force. However, if the orientation is similar, it does not significantly alter the comparison.\n",
      "- To illustrate, consider how gravitational force decreases with distance; similarly, magnetic force diminishes as magnets are moved apart.\n",
      "- Key factors influencing magnetic force include distance and orientation, while material consistency is less relevant when constant.\n",
      "- In summary, the primary factor affecting magnetic force is the distance between the magnets, with closer magnets exerting a stronger force on each other., role=knowledge retrieved by the knowledge retrieval module., grads={Variable(value=To improve the knowledge retrieved by the knowledge retrieval module and align it with the objective function, consider the following feedback:\n",
      "\n",
      "1. **Explicitly State the Inverse Square Law**: The retrieved knowledge should explicitly mention that the magnetic force between two magnets is inversely proportional to the square of the distance between them. This scientific principle is crucial for understanding how distance affects magnetic force and should be clearly articulated in the knowledge base.\n",
      "\n",
      "2. **Clarify Material Consistency**: While the retrieved knowledge mentions the orientation and distance, it should also explicitly state that if all magnets are made of the same material, this factor remains constant and does not influence the comparison of magnetic forces. This clarification will help focus the analysis on the distance factor.\n",
      "\n",
      "3. **Include Examples or Analogies**: To enhance understanding, the knowledge could include examples or analogies that illustrate how distance affects magnetic force. For instance, comparing the effect of distance on magnetic force to the effect of distance on gravitational force could provide a more intuitive understanding.\n",
      "\n",
      "4. **Highlight Key Factors**: The knowledge should prioritize and highlight the key factors that influence magnetic force, such as distance and orientation, while deemphasizing less relevant factors like material consistency when it is constant. This will help streamline the analysis and focus on the most impactful elements.\n",
      "\n",
      "5. **Use Precise and Technical Language**: The language used in the knowledge should be precise and technical, reflecting the scientific principles involved. This will enhance the credibility and accuracy of the knowledge, making it more useful for generating accurate solutions.\n",
      "\n",
      "6. **Provide a Step-by-Step Explanation**: The knowledge should include a step-by-step explanation of how each factor, particularly distance, affects magnetic force. This detailed explanation will provide a clear rationale for any conclusions drawn in the solution.\n",
      "\n",
      "By incorporating these improvements, the knowledge retrieved by the knowledge retrieval module will be more comprehensive and aligned with the objective function, leading to more accurate and informative solutions., role=feedback to knowledge retrieved by the knowledge retrieval module., grads=set())}): []})\n",
      "\u001b[42m\n",
      "==> [Variable updated at 1] (Output after optimization):\u001b[0m\n",
      "==================================================\n",
      "Knowledge:\n",
      "- Magnets exert forces on each other, which can be explained by the inverse square law: the magnetic force between two magnets is inversely proportional to the square of the distance between them. This means that as the distance between the magnets increases, the force decreases rapidly.\n",
      "- If all magnets are made of the same material, this factor remains constant and does not influence the comparison of magnetic forces.\n",
      "- The orientation of the magnets, whether their poles are aligned to attract or repel, can also affect the force. However, if the orientation is similar, it does not significantly alter the comparison.\n",
      "- To illustrate, consider how gravitational force decreases with distance; similarly, magnetic force diminishes as magnets are moved apart.\n",
      "- Key factors influencing magnetic force include distance and orientation, while material consistency is less relevant when constant.\n",
      "- In summary, the primary factor affecting magnetic force is the distance between the magnets, with closer magnets exerting a stronger force on each other.\n",
      "==================================================\n",
      "\n",
      "==> [Intermediate forward pass completed]\n",
      "\n",
      "==> [Optimization complete]\n",
      "\n",
      "==> [Final output]: The magnetic force is stronger in Pair 1.\n",
      "\n",
      "\n",
      "####################################################################################################\n",
      "==> [Optimizing module 2]: solution_generator\n",
      "####################################################################################################\n",
      "\u001b[44m\n",
      "==> [Variable to optimize at 2 (Output before optimization)]:\u001b[0m\n",
      "==================================================\n",
      "\n",
      "\n",
      "Solution: To determine which statement about the magnetic force between the magnets in each pair is true, we need to consider the key factors affecting magnetic force:\n",
      "\n",
      "1. **Inverse Square Law**: The magnetic force between two magnets is inversely proportional to the square of the distance between them. This means that the closer the magnets are to each other, the stronger the magnetic force.\n",
      "\n",
      "2. **Material Consistency**: Since all magnets are made of the same material, the material itself does not affect the comparison of magnetic forces.\n",
      "\n",
      "3. **Orientation of Magnets**: If the orientation of the magnets is similar in both pairs, it does not significantly alter the comparison of the force's strength.\n",
      "\n",
      "Given these factors, the primary consideration is the distance between the magnets in each pair. The pair with the smaller distance between the magnets will have a stronger magnetic force.\n",
      "\n",
      "Since the problem does not provide specific distances or images to compare, we must rely on the general principle that the pair with the closer magnets will have a stronger force. Without additional information, we cannot definitively say which pair has the stronger force based on the options provided.\n",
      "\n",
      "However, if we assume that the problem is asking us to choose based on the typical scenario where one pair is closer than the other, we would select the option that reflects this understanding.\n",
      "\n",
      "Therefore, without specific distances, the most logical choice is to assume that one pair is closer than the other, and thus, the magnetic force is stronger in that pair.\n",
      "\n",
      "The answer is A.\n",
      "==================================================\n",
      "\u001b[48;5;208m\n",
      "==> [Variable outputs and gradients]:\u001b[0m\n",
      "defaultdict(<class 'list'>, {Variable(value=Solution: To determine which statement about the magnetic force between two pairs of magnets is correct, we need to consider the inverse square law. This law states that the magnetic force is inversely proportional to the square of the distance between the magnets. \n",
      "\n",
      "In Pair 1, the magnets are separated by a 2-inch gap, while in Pair 2, the gap is only 1 inch. According to the inverse square law, the magnetic force increases exponentially as the distance decreases. Therefore, the magnetic force is stronger in Pair 2 due to the shorter distance between the magnets.\n",
      "\n",
      "The answer is B., role=solution generated by the solution generator module., grads={Variable(value=To improve the solution generated by the solution generator module and address the objective function, consider the following feedback:\n",
      "\n",
      "1. **Incorporate the Inverse Square Law**: The solution should explicitly mention the inverse square law, which states that the magnetic force is inversely proportional to the square of the distance between the magnets. This foundational concept is crucial for understanding the relationship between distance and magnetic force.\n",
      "\n",
      "2. **Include Specific Distance Measurements**: The solution should clearly state the distances involved in each pair. For example, it should mention that Pair 1 has a 2-inch gap and Pair 2 has a 1-inch gap. This information is essential for comparing the magnetic forces accurately.\n",
      "\n",
      "3. **Logical Reasoning Process**: The solution should provide a step-by-step explanation of how the distance affects the magnetic force. This could involve a brief discussion on how reducing the distance between magnets increases the force exponentially due to the inverse square law.\n",
      "\n",
      "4. **Correct the Conclusion**: The solution should conclude with the correct answer, which is that the magnetic force is stronger in Pair 2 due to the shorter distance. This correction is necessary to align with the accurate understanding of the physical principles involved.\n",
      "\n",
      "5. **Use Clear and Precise Language**: The language used in the solution should be clear and precise to avoid any ambiguity. This includes using terms like \"stronger\" and \"weaker\" in the context of magnetic force and ensuring that the explanation is easy to follow.\n",
      "\n",
      "6. **Address Potential Misunderstandings**: The solution should anticipate and address common misunderstandings, such as the assumption that larger distances might imply stronger forces, which is contrary to the inverse square law.\n",
      "\n",
      "By incorporating these elements, the solution will be more accurate, informative, and aligned with the objective function, ultimately leading to a correct and well-reasoned prediction., role=feedback to solution generated by the solution generator module., grads=set())}): []})\n",
      "\u001b[42m\n",
      "==> [Variable updated at 2] (Output after optimization):\u001b[0m\n",
      "==================================================\n",
      "Solution: To determine which statement about the magnetic force between two pairs of magnets is correct, we need to consider the inverse square law. This law states that the magnetic force is inversely proportional to the square of the distance between the magnets. \n",
      "\n",
      "In Pair 1, the magnets are separated by a 2-inch gap, while in Pair 2, the gap is only 1 inch. According to the inverse square law, the magnetic force increases exponentially as the distance decreases. Therefore, the magnetic force is stronger in Pair 2 due to the shorter distance between the magnets.\n",
      "\n",
      "The answer is B.\n",
      "==================================================\n",
      "\n",
      "==> [Intermediate forward pass completed]\n",
      "\n",
      "==> [Optimization complete]\n",
      "\n",
      "==> [Final output]: The magnetic force is stronger in Pair 2.\n",
      "\n",
      "Done!\n"
     ]
    }
   ],
   "source": [
    "from textgrad.loss import ImageQALoss\n",
    "\n",
    "evaluation_instruction = \"Please analyze whether the generated solution is accurate and informative for answering the question. If it is not, provide feedback to refine the solution, ensuring it is relevant and helpful. The final solution should be concise and informative, providing a clear answer or explanation to help answer the question effectively.\"\n",
    "loss_fn = ImageQALoss(evaluation_instruction=evaluation_instruction, engine=args.eval_engine)\n",
    "\n",
    "image_variable = tg.Variable(image_bytes, role_description=\"image to answer a question about\", requires_grad=False)\n",
    "\n",
    "query_role = \"The task involves generating a solution to the question based on the context, metadata, and knowledge provided. The prompt asks to provide a solution that can help answer the question effectively, considering the question content, image, and background information. The solution may include steps, explanations, or answers related to the question, helping to enhance the answer quality.\"\n",
    "query_variable = tg.Variable(query, role_description=query_role, requires_grad=False)\n",
    "\n",
    "loss_fn_instance = lambda solution: loss_fn(question=query_variable, image=image_variable, response=solution)\n",
    "\n",
    "final_prediction = agent.optimize(loss_fn_instance)\n",
    "\n",
    "print(\"\\nDone!\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'solution': Variable(value=\n",
       " \n",
       " Solution: To determine which statement about the magnetic force between two pairs of magnets is correct, we need to consider the inverse square law. This law states that the magnetic force is inversely proportional to the square of the distance between the magnets. \n",
       " \n",
       " 1. **Understanding the Inverse Square Law**: The magnetic force between two magnets decreases rapidly as the distance between them increases. Conversely, the force increases as the distance decreases.\n",
       " \n",
       " 2. **Comparison of Distances**: \n",
       "    - In Pair 1, the magnets are separated by a 2-inch gap.\n",
       "    - In Pair 2, the gap is only 1 inch.\n",
       " \n",
       " 3. **Application of the Inverse Square Law**: Since the magnetic force is stronger when the distance is shorter, Pair 2, with a 1-inch gap, will have a stronger magnetic force compared to Pair 1, which has a 2-inch gap.\n",
       " \n",
       " Therefore, the magnetic force is stronger in Pair 2 due to the shorter distance between the magnets.\n",
       " \n",
       " The answer is B., role=solution generated by the solution generator module., grads=set()),\n",
       " 'tool_tape_variables': [Variable(value=To determine the sequence of modules for the given question, we need to analyze the question, context, and metadata to understand what information is required to generate the answer.\n",
       "  \n",
       "  **Question:** Think about the magnetic force between the magnets in each pair. Which of the following statements is true?\n",
       "  \n",
       "  **Context:** The images below show two pairs of magnets. The magnets in different pairs do not affect each other. All the magnets shown are made of the same material.\n",
       "  \n",
       "  **Options:** (A) The magnetic force is stronger in Pair 1. (B) The magnetic force is stronger in Pair 2. (C) The strength of the magnetic force is the same in both pairs.\n",
       "  \n",
       "  **Metadata:** {'has_image': True, 'grade': 3, 'subject': 'natural science', 'topic': 'physics', 'category': 'Magnets', 'skill': 'Compare strengths of magnetic forces'}\n",
       "  \n",
       "  Given the metadata and the question, we can determine the following:\n",
       "  \n",
       "  1. **Text_Detector:** Since the question involves analyzing images to compare the magnetic forces, we need to detect any text or labels in the image that might provide additional information about the magnets.\n",
       "  \n",
       "  2. **Knowledge_Retrieval:** Retrieve background knowledge about magnetic forces, which can help in understanding how the shape or arrangement of magnets might affect their magnetic force.\n",
       "  \n",
       "  3. **Solution_Generator:** Use the information from the text detection and knowledge retrieval to generate a detailed solution comparing the magnetic forces.\n",
       "  \n",
       "  4. **Answer_Generator:** Extract the final answer from the solution in a concise form.\n",
       "  \n",
       "  Therefore, the sequence of modules for this question is:\n",
       "  \n",
       "  **Modules:** [\"Text_Detector\", \"Knowledge_Retrieval\", \"Solution_Generator\", \"Answer_Generator\"], role=modules predicted by the policy module (planner)., grads=set()),\n",
       "  Variable(value=Detected text in the image: [[[[165, 0], [211, 0], [211, 15], [165, 15]], 'Pair 1'], [[[515, 0], [561, 0], [561, 15], [515, 15]], 'Pair 2']], role=text detected from the image using a tool., grads=set()),\n",
       "  Variable(value=\n",
       "  \n",
       "  Knowledge:\n",
       "  - **Magnetic Forces**: Magnets exert forces on each other, which can either be attractive or repulsive depending on the orientation of their poles. These forces are known as magnetic forces.\n",
       "  \n",
       "  - **Inverse Square Law**: The magnetic force between two magnets is inversely proportional to the square of the distance between them. This means that as the distance between the magnets increases, the force decreases rapidly. Conversely, as the distance decreases, the force increases.\n",
       "  \n",
       "  - **Material Consistency**: If all magnets are made of the same material, the material itself does not affect the comparison of magnetic forces. The material consistency ensures that the intrinsic magnetic properties are the same across all magnets.\n",
       "  \n",
       "  - **Orientation of Magnets**: The orientation of the magnets, whether their poles are aligned to attract or repel, can affect the force. However, if the orientation is similar in both pairs, it does not significantly alter the comparison of the force's strength.\n",
       "  \n",
       "  - **Distance as a Key Factor**: The primary factor affecting the strength of the magnetic force is the distance between the magnets. Closer magnets exert a stronger force on each other compared to those that are further apart.\n",
       "  \n",
       "  - **Comparison of Forces**: When comparing the strength of magnetic forces between two pairs of magnets, consider the distance between the magnets in each pair. The pair with the smaller distance between magnets will generally have a stronger magnetic force., role=knowledge retrieved by the knowledge retrieval module., grads=set())],\n",
       " 'last_output': Variable(value=\n",
       " \n",
       " Knowledge:\n",
       " - Magnets exert forces on each other, which can be either attractive or repulsive, depending on their orientation.\n",
       " - The strength of the magnetic force between two magnets is influenced by several factors, including the distance between the magnets and their alignment.\n",
       " - The closer the magnets are to each other, the stronger the magnetic force between them. Conversely, as the distance increases, the magnetic force decreases.\n",
       " - The material of the magnets can affect their magnetic strength, but in this context, all magnets are made of the same material, so this factor is constant.\n",
       " - The shape and size of the magnets can also influence the distribution of the magnetic field, potentially affecting the force.\n",
       " - When comparing the strength of magnetic forces, it is important to consider both the distance between the magnets and their relative positions or orientations.\n",
       " - In this scenario, since the magnets are made of the same material, the primary factors to consider are the distance between the magnets in each pair and their orientation., role=knowledge retrieved by the knowledge retrieval module., grads=set()),\n",
       " 'tool_tape': Variable(value=Detected text in the image: [[[[165, 0], [211, 0], [211, 15], [165, 15]], 'Pair 1'], [[[515, 0], [561, 0], [561, 15], [515, 15]], 'Pair 2']]Knowledge:\n",
       " - Magnets exert forces on each other, which can be explained by the inverse square law: the magnetic force between two magnets is inversely proportional to the square of the distance between them. This means that as the distance between the magnets increases, the force decreases rapidly.\n",
       " - If all magnets are made of the same material, this factor remains constant and does not influence the comparison of magnetic forces.\n",
       " - The orientation of the magnets, whether their poles are aligned to attract or repel, can also affect the force. However, if the orientation is similar, it does not significantly alter the comparison.\n",
       " - To illustrate, consider how gravitational force decreases with distance; similarly, magnetic force diminishes as magnets are moved apart.\n",
       " - Key factors influencing magnetic force include distance and orientation, while material consistency is less relevant when constant.\n",
       " - In summary, the primary factor affecting magnetic force is the distance between the magnets, with closer magnets exerting a stronger force on each other.\n",
       " \n",
       " Knowledge:\n",
       " - **Magnetic Forces**: Magnets exert forces on each other, which can either be attractive or repulsive depending on the orientation of their poles. These forces are known as magnetic forces.\n",
       " \n",
       " - **Inverse Square Law**: The magnetic force between two magnets is inversely proportional to the square of the distance between them. This means that as the distance between the magnets increases, the force decreases rapidly. Conversely, as the distance decreases, the force increases.\n",
       " \n",
       " - **Material Consistency**: If all magnets are made of the same material, the material itself does not affect the comparison of magnetic forces. The material consistency ensures that the intrinsic magnetic properties are the same across all magnets.\n",
       " \n",
       " - **Orientation of Magnets**: The orientation of the magnets, whether their poles are aligned to attract or repel, can affect the force. However, if the orientation is similar in both pairs, it does not significantly alter the comparison of the force's strength.\n",
       " \n",
       " - **Distance as a Key Factor**: The primary factor affecting the strength of the magnetic force is the distance between the magnets. Closer magnets exert a stronger force on each other compared to those that are further apart.\n",
       " \n",
       " - **Comparison of Forces**: When comparing the strength of magnetic forces between two pairs of magnets, consider the distance between the magnets in each pair. The pair with the smaller distance between magnets will generally have a stronger magnetic force.Solution: To determine which statement about the magnetic force between two pairs of magnets is correct, we need to consider the inverse square law. This law states that the magnetic force is inversely proportional to the square of the distance between the magnets. \n",
       " \n",
       " In Pair 1, the magnets are separated by a 2-inch gap, while in Pair 2, the gap is only 1 inch. According to the inverse square law, the magnetic force increases exponentially as the distance decreases. Therefore, the magnetic force is stronger in Pair 2 due to the shorter distance between the magnets.\n",
       " \n",
       " The answer is B., role=response that stores the query information, along with the execution inputs and outputs of the previous modules (tools)., grads=set()),\n",
       " 'optimized_solution': Variable(value=\n",
       " \n",
       " Solution: To determine which statement about the magnetic force between two pairs of magnets is correct, we need to consider the inverse square law. This law states that the magnetic force is inversely proportional to the square of the distance between the magnets. \n",
       " \n",
       " 1. **Understanding the Inverse Square Law**: The magnetic force between two magnets decreases rapidly as the distance between them increases. Conversely, the force increases as the distance decreases.\n",
       " \n",
       " 2. **Comparison of Distances**: \n",
       "    - In Pair 1, the magnets are separated by a 2-inch gap.\n",
       "    - In Pair 2, the gap is only 1 inch.\n",
       " \n",
       " 3. **Application of the Inverse Square Law**: Since the magnetic force is stronger when the distance is shorter, Pair 2, with a 1-inch gap, will have a stronger magnetic force compared to Pair 1, which has a 2-inch gap.\n",
       " \n",
       " Therefore, the magnetic force is stronger in Pair 2 due to the shorter distance between the magnets.\n",
       " \n",
       " The answer is B., role=solution generated by the solution generator module., grads=set()),\n",
       " 'final_output': Variable(value=The magnetic force is stronger in Pair 2., role=prediction generated by the answer generator module., grads=set())}"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "agent.state"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## The Refined Solution from TextGrad"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==> [Final Solution]\n",
      "\n",
      "\n",
      "Solution: To determine which statement about the magnetic force between two pairs of magnets is correct, we need to consider the inverse square law. This law states that the magnetic force is inversely proportional to the square of the distance between the magnets. \n",
      "\n",
      "1. **Understanding the Inverse Square Law**: The magnetic force between two magnets decreases rapidly as the distance between them increases. Conversely, the force increases as the distance decreases.\n",
      "\n",
      "2. **Comparison of Distances**: \n",
      "   - In Pair 1, the magnets are separated by a 2-inch gap.\n",
      "   - In Pair 2, the gap is only 1 inch.\n",
      "\n",
      "3. **Application of the Inverse Square Law**: Since the magnetic force is stronger when the distance is shorter, Pair 2, with a 1-inch gap, will have a stronger magnetic force compared to Pair 1, which has a 2-inch gap.\n",
      "\n",
      "Therefore, the magnetic force is stronger in Pair 2 due to the shorter distance between the magnets.\n",
      "\n",
      "The answer is B.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# final solution\n",
    "final_solution = agent.state[\"optimized_solution\"].value\n",
    "print(f\"==> [Final Solution]\\n{final_solution}\\n\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "==> [Final Prediction]\n",
      "The magnetic force is stronger in Pair 2.\n",
      "\n"
     ]
    }
   ],
   "source": [
    "# final prediction\n",
    "print(f\"==> [Final Prediction]\\n{final_prediction}\\n\")"
   ]
  }
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